I think that stretches what it means for a company to "be" a 125b company, but that is still awful.
Which this company didn't. They managed 125b of assets belonging to other people, they didn't have 125b of their own.
They have 125b they can literally write a check against and allocate any way they want as long as it delivers an adequate return and doesn't piss off the shareholders. Other than sophistry, what's the difference?
No they don't. The pension regulator sets very restrictive controls on what they can do with that 125b, because it's neither the company's nor the shareholders' money.